2024-05-31 Q1(m=6)

Rearrange the digits in ⟨1263045⟩ to meet the rules below.

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨? 3 ⋯ (?+3) ⋯ 0 ⋯⟩ (?≠3,0)

⟨ ⁶ᵗʰa     ³ʳᵈb       ⟩, min⟦a,b⟧ = 0

6th → a, 2nd → b, a+b=6

⟨           ¹ˢᵗa ⁰ᵗʰb ⟩, (ab)₁₀ ≤ 25

#125034_v2.5

2024-05-31 WR

Rearrange the digits in ⟨125034⟩ to meet the rules below.

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨? 0 ⋯ (?−1) ⋯ 2 ⋯⟩ (?≠1)

5th → a, 4th → b, a+b=5

⛔Avoid

{p3, p2, p1} = ? + {0,2,3}

{p3, p1, p0} = ? + {0,1,3}

⟨     ³ʳᵈa ²ⁿᵈb     ⟩, min⟦a,b⟧ = 2

⟨       ²ⁿᵈa   ⁰ᵗʰb ⟩, max⟦a,b⟧ = 4

#125034_v2.5

2024-05-30 Q1(m=6)

Rearrange the digits in ⟨1263045⟩ to meet the rules below.

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

Sim⟨ ⁶ᵗʰ3 ⁵ᵗʰ6 ⁴ᵗʰ2 ³ʳᵈ4 ²ⁿᵈ1 ¹ˢᵗ0 ⁰ᵗʰ5 ⟩ ≥ 1

⟨ ⁶ᵗʰc ⁵ᵗʰa         ⁰ᵗʰb ⟩, a > b > c

2nd → a, 1st → b, |a-b|=3

6th → a, 3rd → b, ab=0

⛔Avoid

⟨⋯ 6 ⋯ 5 ⋯⟩

⟨ ⁶ᵗʰa   ⁴ᵗʰb ³ʳᵈc       ⟩, (abc)₁₀ ≤ 246

#125034_v2.5

2024-05-30 WR

Rearrange the digits in ⟨125034⟩ to meet the rules below.

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

Sim⟨ ⁵ᵗʰ1 ⁴ᵗʰ2 ³ʳᵈ3 ²ⁿᵈ4 ¹ˢᵗ0 ⁰ᵗʰ5 ⟩ = 1

1st → 1

⛔Avoid

⟨⋯ 3 ⋯ a ⋯⟩, a = 1|4

Jump(1,5) = 2

3rd → 5

⟨⋯ a ⋯ 2 ⋯⟩, a = 0|1|3|5

#125034_v2.5